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34131130000 = 245411310283
BaseRepresentation
bin11111110010010111…
…111011011010010000
310021002122202001100221
4133302113323122100
51024400032130000
623402444322424
72315541550432
oct376227733220
9107078661327
1034131130000
1113525151160
126746543414
1332ac209716
14191ad74652
15d4b65261a
hex7f25fb690

34131130000 has 100 divisors (see below), whose sum is σ = 90147431088. Its totient is φ = 12411280000.

The previous prime is 34131129941. The next prime is 34131130013. The reversal of 34131130000 is 3113143.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45142 + ... + 265141.

Almost surely, 234131130000 is an apocalyptic number.

It is an amenable number.

34131130000 is an abundant number, since it is smaller than the sum of its proper divisors (56016301088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34131130000 is a wasteful number, since it uses less digits than its factorization.

34131130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310322 (or 310301 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 34131130000 its reverse (3113143), we get a palindrome (34134243143).

The spelling of 34131130000 in words is "thirty-four billion, one hundred thirty-one million, one hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 22000 27500 55000 110000 310283 620566 1241132 1551415 2482264 3102830 3413113 4964528 6205660 6826226 7757075 12411320 13652452 15514150 17065565 24822640 27304904 31028300 34131130 38785375 54609808 62056600 68262260 77570750 85327825 124113200 136524520 155141500 170655650 193926875 273049040 310283000 341311300 387853750 426639125 620566000 682622600 775707500 853278250 1365245200 1551415000 1706556500 2133195625 3102830000 3413113000 4266391250 6826226000 8532782500 17065565000 34131130000